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Abstract
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In the present paper, a new family of lifetime distributions is introduced via odd ratio function, the well-known concept in
survival analysis and reliability engineering. Some important properties of the proposed model including survival function,
quantile function, hazard function, order statistic are obtained in a general setting. A special case of this new family is taken up
by considering exponential and Lindley models as the parent distributions. In addition, estimation of the unknown parameters
of the special model will be examined from the perspective of the classic statistics. A simulation study is presented to investigate
the bias and mean square error of the maximum likelihood estimators. Moreover, an example of real data set is studied; point
and interval estimations of all parameters are obtained by maximum likelihood and bootstrap (parametric and non-parametric)
procedures. Finally, the superiority of the proposed model in terms of the parent exponential distribution over other fundamental
statistical distributions is shown via the example of real observations.
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